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Finding the Third Proportional to 177,291 and 410,010

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Solution

The third proportional to 177,291 and 410,010 is: 948,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,291 : 410,010 = 410,010 : x
  2. Step 2: Convert to fraction form
    177,291/410,010 = 410,010/x
  3. Step 3: Cross multiply
    177,291x = 410,010 × 410,010
  4. Step 4: Simplify right side
    177,291x = 168,108,200,100
  5. Step 5: Solve for x
    x = 168,108,200,100/177,291
  6. Step 6: Final answer
    x = 948,204.93

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.